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<p><dfn class="terminology">Example 2</dfn> Find the general solution of</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
{\bf x}^{\prime}={\bf A}\,{\bf x}+{\bf g}(t)
=
\left(
\begin{array}{cc}
1 &amp; 1\\
4 &amp; -2
\end{array}
\right) {\bf x}+\left(
\begin{array}{c}
e^{-2t}\\
-2 e^t
\end{array}
\right).
\end{equation*}
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<span class="incontext"><a href="sec6_6.html#p-293" class="internal">in-context</a></span>
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